816456816401 has 8 divisors (see below), whose sum is σ = 870285594600. Its totient is φ = 763272694528.

The previous prime is 816456816349. The next prime is 816456816403. The reversal of 816456816401 is 104618654618.

816456816401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 903580²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 95654118400 + 720802698001 = 309280^2 + 849001^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 816456816401 - 2¹⁴ = 816456800017 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 816456816401.

It is not an unprimeable number, because it can be changed into a prime (816456816403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161161466 + ... + 161166531.

It is an arithmetic number, because the mean of its divisors is an integer number (108785699325).

Almost surely, 2^816456816401 is an apocalyptic number.

It is an amenable number.

816456816401 is a deficient number, since it is larger than the sum of its proper divisors (53828778199).

816456816401 is a wasteful number, since it uses less digits than its factorization.

816456816401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322328163.

The product of its (nonzero) digits is 1105920, while the sum is 50.

The spelling of 816456816401 in words is "eight hundred sixteen billion, four hundred fifty-six million, eight hundred sixteen thousand, four hundred one".